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Crescent Nebula NGC6888 and the Soap Bubble Nebula PN G75.5+1.7 nestled in the surrounding Cygnus nebula structure.

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SH2-174. The Valentine Rose Nebula. 32hrs of exposure from my backyard.

Some controversy over what the nature of the nebula is. Great scientific study in the below article.

https://iopscience.iop.org/article/10.1088/0004-637X/799/2/198/meta

My acquisition details:

https://astrob.in/57cgka/0/

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Solar prominence liftoff captured while solar imaging today!

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M51 The Whirlpool Galaxy. There is a galaxy on the background I labeled as Unknown. Couldn't find it in any catalog. Need some science answers on this one!

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M65 and M66, the Duo in the Leo Triplet

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NGC4565 The Needle Galaxy

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M101 Pinwheel Galaxy taken from my backyard

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M81 aka Bode's Galaxy. First image includes H-alpha exposure time highlighting the huge red star forming regions.

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NGC 2359 Thor's Helmet. Imaged under a full moon. Was worried the details were going to wash out but I am very pleased with the results! Over 6 hrs of exposure.

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Viel Nebula and Melotte 15 starless

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NGC2264 Christmas Tree Cluster from my backyard

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Bode's Galaxy and the Cigar Galaxy

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Markarian's Chain. The middle two are known as The Eyes. 17 galaxies in the Virgo cluster are imaged here. Each on average has 400billion stars. Total is just under 7 trillion stars here!!

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Reprocessed my Rosette Nebula data, NGC2244

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Starless Tadpole Nebula IC410

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IC410 Tadpole Nebula. 17x900s Ha and 10x900s OIII data.

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Who says you can’t do complex analysis in Excel...

Prime Counting function using the first 200 non trivial zeroes of the Zeta function (and first 5 trivial ones).  Equation used is the main sum in the top with an approximation if you want a simpler expression to try.

Main point of the famous paper by Riemann is using the zeta zeroes you can calculate the number of primes below a number, they are one in the same, interwoven in math.

The zeroes can be found easiest using the Riemann Siegel functions lower graph (also just using excel).